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If 30028 = 28 Ones + 28 Thousand + - Te...

If 30028 = 28 Ones + 28 Thousand + -_____ Tens, then the number in the blank space is

A

280

B

28

C

128

D

200

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 30028 = 28 \text{ Ones} + 28 \text{ Thousand} + -\_\_\_\_\_ \text{ Tens} \), we will follow these steps: ### Step 1: Understand the components of the number The number \( 30028 \) can be broken down into its place values: - Thousands: \( 30000 \) - Hundreds: \( 0 \) - Tens: \( 20 \) - Ones: \( 8 \) ### Step 2: Express the given equation From the problem statement, we can express \( 30028 \) as: \[ 30028 = 28 \times 1 + 28 \times 1000 + x \times 10 \] where \( x \) represents the number of tens we need to find. ### Step 3: Substitute the known values Now, substituting the values we have: \[ 30028 = 28 + 28000 + x \times 10 \] ### Step 4: Combine the known values Combine \( 28 \) and \( 28000 \): \[ 30028 = 28028 + x \times 10 \] ### Step 5: Isolate the term with \( x \) To isolate \( x \), we subtract \( 28028 \) from both sides: \[ 30028 - 28028 = x \times 10 \] \[ 2000 = x \times 10 \] ### Step 6: Solve for \( x \) Now, divide both sides by \( 10 \): \[ x = \frac{2000}{10} = 200 \] ### Conclusion The number in the blank space is \( 200 \).
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